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If the volume of a Box is 1,463,000 cubic millimetres, what is the vol

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If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post Updated on: 05 Jun 2018, 07:46
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If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0.001 meter)

A) 14.63
B) 1.463
C) 0.1463
D) 0.01463
E) 0.001463
Spoiler: OA

Originally posted by Avigano on 23 Jul 2016, 13:27.
Last edited by Bunuel on 05 Jun 2018, 07:46, edited 3 times in total.
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 23 Jul 2016, 13:32
Avigano wrote:
If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0,001 meter)

A) 14,63
B) 1,463
C) 0,1463
D) 0,01463
E) 0,001463


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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 23 Jul 2016, 16:28
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\(Well,\; square\; meters\; or\; cubic\; meters\; are\; simply\; m*m,\)

\(so\; our\; nice\; "a\; lot\; of\; millions"mm^{3},\; means\; x_{mm}\cdot y_{mm}\cdot z_{mm}\; and\; as\; each\; of\; these\; mm\; has\; a\; conversion\; of\; \frac{1}{1000},\)

\(the\; whole\; pack\; will\; need\; a\; reduction\; of\; 10^{-9}\; ,\; 9\; zeros,\; to\; become\; m^{3}.\)

\(Answer\; \mbox{E}.\)

\(Hope\; it\; helps.\;\) \(:)\)

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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 24 Oct 2016, 17:06
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The trick here maybe to just drop the ugly numbers and transform 1,463,000 cubic mm into 1,000,000 cubic mm just to understand the logic behind.

If volume of a cube equals \(10^6\) cubic mm and the formula is side * side * side, we can infer that the side measures \(10^2\) mm, or 100 mm.

And 100 mm = 0.1 mt. Therefore the side measures 0.1 mt.

In volume, this would be represented as 0.1 mt * 0.1 mt * 0.1 mt, which yields 0.001 cubic mt.

The answer choice should have 2 zeroes between the point and the first decimal different to zero.
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 25 Oct 2016, 17:04
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Avigano wrote:
If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0.001 meter)

A) 14.63
B) 1.463
C) 0.1463
D) 0.01463
E) 0.001463


Since we are converting from cubic millimeters to cubic meters, we have to adjust the conversion.

(1 millimeter)^3 = (0.001 meter)^3

(1 millimeter)^3 = 0.000000001 meter^3

Thus, 1,463,000 cubic millimetres =

0.000000001 x 1,463,000 = 0.001463 cubic meters

Answer: E
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 05 Jun 2018, 06:54
Avigano wrote:
If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0,001 meter)

A) 14,63
B) 1,463
C) 0,1463
D) 0,01463
E) 0,001463


Comma's should be converted to points for better understanding of the problem .
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If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 10 Jun 2018, 06:11
minwoswoh wrote:
The trick here maybe to just drop the ugly numbers and transform 1,463,000 cubic mm into 1,000,000 cubic mm just to understand the logic behind.

If volume of a cube equals \(10^6\) cubic mm and the formula is side * side * side, we can infer that the side measures \(10^2\) mm, or 100 mm.

And 100 mm = 0.1 mt. Therefore the side measures 0.1 mt.

In volume, this would be represented as 0.1 mt * 0.1 mt * 0.1 mt, which yields 0.001 cubic mt.

The answer choice should have 2 zeroes between the point and the first decimal different to zero.


Hi pushpitkc

i dont get for some reason logic of sentence in red...

if 1 mm is 0.001 cubic mt. then

then shouldnt we divide 1463000 by 0,001 :?
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 10 Jun 2018, 08:13
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dave13 wrote:
minwoswoh wrote:
The trick here maybe to just drop the ugly numbers and transform 1,463,000 cubic mm into 1,000,000 cubic mm just to understand the logic behind.

If volume of a cube equals \(10^6\) cubic mm and the formula is side * side * side, we can infer that the side measures \(10^2\) mm, or 100 mm.

And 100 mm = 0.1 mt. Therefore the side measures 0.1 mt.

In volume, this would be represented as 0.1 mt * 0.1 mt * 0.1 mt, which yields 0.001 cubic mt.

The answer choice should have 2 zeroes between the point and the first decimal different to zero.


Hi pushpitkc

i dont get for some reason logic of sentence in red...

if 1 mm is 0.001 cubic mt. then

then shouldnt we divide 1463000 by 0,001 :?



Hi dave13

1 mm is 0.001 mt
1 cubic mm will be \((0.001)^3 = 0.000000001\) cubic meter

Since we are given the volume of the box is 1,463,000 cubic millimeters, to convert into
cubic meter, we need to multiply it by 0.000000001.
1,463,000 cubic mm = 1,463,000*0.000000001 = 0.01463 cubic meter.

Hope this helps you!
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol   [#permalink] 10 Jun 2018, 08:13
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